Pith Number

pith:KS4IM2PA

pith:2013:KS4IM2PASUJMAJSUE4JU4FZYTQ

not attested not anchored not stored refs pending

Warped Product Pointwise Semi-slant Submanifolds of Kaehler Manifolds

Bayram Sahin

arxiv:1310.2813 v2 · 2013-10-10 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS4IM2PASUJMAJSUE4JU4FZYTQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:05:01.114476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b88669e09512c0265427134e17389c2ed2df5a0df0468cc98b08f0a97bc286

Aliases

arxiv: 1310.2813 · arxiv_version: 1310.2813v2 · doi: 10.48550/arxiv.1310.2813 · pith_short_12: KS4IM2PASUJM · pith_short_16: KS4IM2PASUJMAJSU · pith_short_8: KS4IM2PA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KS4IM2PASUJMAJSUE4JU4FZYTQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 54b88669e09512c0265427134e17389c2ed2df5a0df0468cc98b08f0a97bc286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82249bc91ae76fe409ad406086999987d08686761b2abcaa1352f0a79ba9c28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-10T13:38:06Z",
    "title_canon_sha256": "d72bdb6cf72c49eb264d7f5f2adc47aff30e61cef1ae6d47f10b799ec729cfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2813",
    "kind": "arxiv",
    "version": 2
  }
}